840893040 has 120 divisors (see below), whose sum is σ = 3041263680. Its totient is φ = 206986752.

The previous prime is 840893029. The next prime is 840893047. The reversal of 840893040 is 40398048.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×840893040² = 1414202209440883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 840892986 and 840893004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840893047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35560 + ... + 54279.

It is an arithmetic number, because the mean of its divisors is an integer number (25343864).

Almost surely, 2^840893040 is an apocalyptic number.

840893040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

840893040 is an abundant number, since it is smaller than the sum of its proper divisors (2200370640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

840893040 is a wasteful number, since it uses less digits than its factorization.

840893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89871 (or 89862 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 840893040 is about 28998.1558034300. The cubic root of 840893040 is about 943.8730498153.

The spelling of 840893040 in words is "eight hundred forty million, eight hundred ninety-three thousand, forty".